A012872 Expansion of e.g.f.: arcsin(sech(x)*log(x+1))=x-1/2!*x^2-6/4!*x^4+43/5!*x^5-195/6!*x^6...

0, 1, -1, 0, -6, 43, -195, 1568, -15204, 151373, -1798245, 23630992, -338936730, 5409752775, -93357461015, 1736114575232, -34849328368680, 747209331349305, -17053712316379593, 413430901134512288

Offset

1,5

Links

Table of n, a(n) for n=1..20.

Mathematica

With[{nn=20}, CoefficientList[Series[ArcSin[Sech[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 20 2020 *)

Crossrefs

Sequence in context: A101071 A299375 A097298 * A156676 A256713 A099322

Adjacent sequences: A012869 A012870 A012871 * A012873 A012874 A012875

Keyword

sign

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

Zero prepended & definition clarified by Harvey P. Dale, Jul 20 2020

Status

approved